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Finding the Fourth Proportional to 273,125,430.40, 409,688,145.60 and 268,590,467.20

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Solution

The fourth proportional to 273,125,430.40, 409,688,145.60 and 268,590,467.20 is: 402,885,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,125,430.40 : 409,688,145.60 = 268,590,467.20 : x
  2. Step 2: Convert to fraction form
    273,125,430.40/409,688,145.60 = 268,590,467.20/x
  3. Step 3: Cross multiply
    273,125,430.40x = 409,688,145.60 × 268,590,467.20
  4. Step 4: Simplify right side
    273,125,430.40x = 110,038,330,433,005,632
  5. Step 5: Solve for x
    x = 110,038,330,433,005,632/273,125,430.40
  6. Step 6: Final answer
    x = 402,885,700.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.